Simplify 67c − 59d − 12 c + 13d
.(1 point)
Responses
514c − 29d
Start Fraction 5 over 14 End Fraction c minus Start Fraction 2 over 9 End Fraction d
59c + 412d = 59c +13d
Start Fraction 5 over 9 End Fraction c plus Start Fraction 4 over 12 End Fraction d equals Start Fraction 5 over 9 End Fraction c plus Start Fraction 1 over 3 End Fraction d
514c + 29d
Start Fraction 5 over 14 End Fraction c plus Start Fraction 2 over 9 End Fraction d
59c − 412d = 59c −13d
1 answer
To simplify the expression \( 67c - 59d - 12c + 13d \), we will group the terms involving \( c \) and the terms involving \( d \).
Combine the \( c \) terms: \[ 67c - 12c = (67 - 12)c = 55c \]
Combine the \( d \) terms: \[ -59d + 13d = (-59 + 13)d = -46d \]
Putting it all together, we have: \[ 55c - 46d \]
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